Dimension and partial groups - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2024

Dimension and partial groups

Résumé

A partial group with $n+1$ elements is, when regarded as a symmetric simplicial set, of dimension at most $n$. This dimension is $n$ if and only if the partial group is a group. As a consequence of the first statement, finite partial groups are genuinely finite, despite being seemingly specified by infinitely much data. In particular, finite partial groups have only finitely many im-partial subgroups. We also consider dimension of partial groupoids.
Fichier principal
Vignette du fichier
dimension.pdf (292.56 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04630052 , version 1 (01-07-2024)

Identifiants

Citer

Philip Hackney, Rémi Molinier. Dimension and partial groups. 2024. ⟨hal-04630052⟩
0 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More